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28 January, 18:43

If f (x) = 5x^3 and g (x) = x+1 find (fxg) (x)

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  1. 28 January, 22:20
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    (f o g) (x) = f (g (x)) so we plug in the equation for g (x) where the x-variable is in f (x).

    5 (x + 1) ³

    5[ (x + 1) (x + 1) (x + 1) ]

    5[ (x² + 2x + 1) (x + 1) ]

    5 (x³ + 3x² + 3x + 1)

    (f o g) (x) = 5x³ + 15x² + 15x + 5
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